Question

Solve:
$\left(i\right)$ $\frac{x}{3}-5=2$
(2 marks)

Answer 1

Given,
$\frac{x}{3}-5=2$

So, we have to find value of $x$ by hit and trial method.

• For obtaining the value of $x$ we can just put multiple of 3 because the denominator is 3.
• On right side we have a whole number, which is another reason to put multiple of 3.

$x$ (1 Mark)	$\frac{x}{3}-5$ (1Mark)	Result (1Mark)	Is it 2 ? Yes/No
3	$\frac{3}{3}-5$	- 4	No
6	$\frac{6}{3}-5$	-3	No
9	$\frac{9}{3}-5$	-2	No
12	$\frac{12}{3}-5$	-1	No
15	$\frac{15}{3}-5$	0	No
18	$\frac{18}{3}-5$	1	No
21	$\frac{21}{3}-5$	2	Yes

Hence, the value of $x$ is $21$.
(2 marks)